Abstract: A grinding machine is disclosed for supporting a circular saw for rotation about its own axis. The grinding machine includes a cyclically controlled clamp for successively clamping and releasing the saw; a cyclically controlled indexing arrangement for indexing the saw; a cyclically controlled grinding wheel for moving into and out of operative position and a control mechanism arranged so that the clamp is released to allow the indexing arrangement to index the saw but applied during movement of the grinding wheel through the operative position.